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Finding the Fourth Proportional to 12,971.78, 17,901.06 and 7,306.54

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Solution

The fourth proportional to 12,971.78, 17,901.06 and 7,306.54 is: 10,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.78 : 17,901.06 = 7,306.54 : x
  2. Step 2: Convert to fraction form
    12,971.78/17,901.06 = 7,306.54/x
  3. Step 3: Cross multiply
    12,971.78x = 17,901.06 × 7,306.54
  4. Step 4: Simplify right side
    12,971.78x = 130,794,810.93
  5. Step 5: Solve for x
    x = 130,794,810.93/12,971.78
  6. Step 6: Final answer
    x = 10,083.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.